WI: Matthias Corvinus has a legitimate heir?

OTL the first wife of Matthias was Chaterine Podebrady who died a few days after giving birth to the stillborn son of the Hungarian king. I was thinking what will happen if the queen and the prince both survive?
 
Probably at the very least a more secure succession and continuation of Matthias' line for another generation. If they create a true dynasty that might even prevent Hungary from getting Habsburged next century.
 
Maybe the Corvinus line continues strong; where do we see that going? Matthias had thrashed the Hapsburgs and even conquered Vienna. How strong would Hungary be if the legitimate heir keeps the city?
 
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